Download Monopoly, Monopoly Regulation, Price discrimination

Industrial Organization 01
Monopoly, Monopoly Regulation, Price discrimination
Marc Bourreau
Telecom ParisTech
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Structure
1
2
3
Definition
Why do monopolies exist?
Mono-product monopoly
The inverse elasticity rule and market power
Effect of marginal cost on price
4
5
Multi-product monopoly
The social costs of monopoly and of its regulation
The deadweight loss
The rent-seeking phenomenon
Monopoly regulation
Alternatives to monopoly regulation
6
Price discrimination
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Monopoly Definition
Monopoly Definition
Let’s assume that a "market" has been defined (relevant market definition stage).
Monopoly definition:
A firm that dominates the whole market (or almost the whole market).
Examples?
Firms in some network industries
For a long time, EDF (electricity) and France Telecom (telecom), transportation firms (RATP), water supply...
A "dominant" firm:
Between 50% and 100% of its market,
Without any important competitor
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Sources of Monopoly
Why do Monopolies Exist?
Sources of monopoly:
Natural monopoly: due to high entry costs in the industry, economies of
scale or scope, it is less costly for one firm to produce than for several.
Entry barriers: due to some market characteristics (high costs or existence
of an essential facility) or threats coming from firms already present in the
market (strategic barriers).
Legal restrictions to entry: exclusive licensing, patents, public service
concessions...
Symmetric situation to monopoly: a unique buyer is a monopsony.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Mono-Product Monopoly
Mono-Product Monopoly
We suppose that a market has been defined, where there is only one firm. This
firm produces only one product or service.
The demand function is q = D p , with q a quantity and p a price, and is
decreasing with the price,
dD p
< 0.
dp
The inverse demand is denoted by P(q).
The production cost
for q unity of product is denoted by C q , and we
suppose that C0 q ≥ 0.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Mono-Product Monopoly
Mono-Product Monopoly
The profit maximisation problem is written as follows,
max pD p − C D p .
p
The first order condition (FOC) is written as follows (Rm − Cm = 0):
D p + pD0 p − C0 D p D0 p = 0,
or also
D p
p − C D p = − 0 .
D p
0
We introduce the price elasticity of demand:
ε=−
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∂D p
.
∂p D
Lecture 01: The Monopoly
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Mono-Product Monopoly
The Inverse Elasticity Rule
We obtain the inverse elasticity rule:
p − C0 D p
1
= .
p
ε
The monopoly produces on the elastic part of the demand curve (where > 1)
Why?
What happens if < 1 ?
Attention: except some particular cases (iso-elastic demand curve), the elasticity depends on the price.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Mono-Product Monopoly
The Inverse Elasticity Rule and Market Power
Definition of "market power": the ability of a firm to raise its price above its
marginal cost.
Has a monopoly a high market power?
Recall the inverse elasticity rule:
p − C0 D p
1
= .
p
ε
Left-hand side of the rule = Lerner index = measure of market power.
Corollary of the inverse elasticity rule
The monopoly’s market power is inversely proportional to the price elasticity
of demand.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Mono-Product Monopoly
Monopoly and Market Power
Article 102 of the Treaty on the Functioning of the European Union:
A dominant position (we assume it is equivalent to a high market share)
is not illegal per se.
What constitutes a breach of the Treaty is an abuse of dominant position
(which is a reference to the monopoly power).
To define a monopoly by the "monopoly power" is more robust than to define
it by the "market share":
Market definition problems: Apple operates as a monopoly on the Mac
market.
A firm with 80% of market shares could have more power than a firm with
100% of market shares.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Mono-Product Monopoly
Example: Microsoft Defence
In the legal battle against the American Department of Justice (Netscape case)
between 1998 and 2001, Microsoft (MS) could not claim it had not a quasimonopoly position on the operating systems. How MS defended itself?
Microsoft claimed it was unable to set a monopoly price due to the competition
from
rival products,
potential entrants,
its own installed base,
pirated softwares.
To conclude, MS had a monopoly position, but no monopoly power.
An american industrial economist (Schmalensee) calculated that the momopoly
price (without these constraints) should have been set between 900$ et 2000$.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Mono-Product Monopoly
Comparative Statistics
Comparative statistics: variation of an economic variable at the equilibium depending on an exogeneous factor.
What is the relation between the monopoly price and the marginal cost level?
General result (e.g., see Tirole, 1988)
If the cost function increases with the quantity produced, the monopoly price
function increases with the marginal cost.
Example:
If the demand is given by D(p) = 1−p and the cost of production is C(q) = cq
What is the monopoly price pm (c)?
We maximize the profit (p − c)(1 − p) in relation to p and we have pm (c) =
(1 + c)/2 which is increasing in c.
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Lecture 01: The Monopoly
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Multi-Product Monopoly
Multi-Product Monopoly
Let’s consider a "multi-product monopoly", which produces 2 goods.
Demand for good i, with i = 1, 2, is qi = Di p .
The production costs, C q1 , q2 , is separable:
C q1 , q2 = C1 q1 + C2 q2 ,
The monopoly
proposes a vector of prices p = p1 , p2 and quantity q =
q1 , q2 .
The profit maximization problem for the monopoly is then written as:
max p1 D1 p − C1 q1 + p2 D2 p − C2 q2 .
p
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Multi-Product Monopoly
Multi-Product Monopoly
The first order condition for good i (1 or 2) is:
pj − C0j Dj
pi − C0i
1
=
− εij
,
pi
εii
pi Di εii
with
C0i =
εii = −
∂C
∂qi
∂Dj pi
∂Di pi
et εij = −
.
∂pi Di
∂pi Dj
– If εij = 0, demands are independent. It is as if we had two independent
mono-product monopoly problems.
– Otherwise, we have to adapt the inverse elasticity rule.
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Lecture 01: The Monopoly
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Multi-Product Monopoly
Subsitute Goods
If goods 1 and 2 are substitutes, we have ∂Dj /∂pi > 0, which implies that
εij < 0,
and then we have
pi − C0i
pi
=
1
+ a positive term.
εii
The monopoly sets higher prices, that two independent monopolies woulnd’t
do. Why?
→ The monopoly "internalizes" the negative externality (competition effet)
stemming from the substitution between the two goods.
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Lecture 01: The Monopoly
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Multi-Product Monopoly
Complementary Goods
We have ∂Dj /∂pi < 0, which implies that
εij > 0,
and then
pi − C0i
pi
=
1
− a positive term.
εii
The monopoly sets lower prices than two independent monopolies.
The monopoly internalizes the positive externality stemming from the complementarity between the two goods.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Social Cost and Monopoly Regulation
The Monopoly Inefficiency
Two main reasons for the monopoly inefficiency:
The deadweight loss
Rent-seeking
But there are other arguments to say that a monopoly situation is efficient:
In a situation with a natural monopoly, it is less costly that only one firm
produces than several
Schumpeterian argument: "Big firms" are more innovative than "small
firms"
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Lecture 01: The Monopoly
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Social Cost and Monopoly Regulation
The Deadweight Loss
The Deadweight Loss
p
surplus des
consommateurs
pm
perte de poids mort
(deadweight loss)
profit
c
q
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Lecture 01: The Monopoly
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Social Cost and Monopoly Regulation
The Deadweight Loss
Deadweight Loss: Estimations
Some economic studies have sought to calculate the deadweight loss at the
national level:
Worcester (1973) for the US: between 0.4 and 0.7% of GDP
Cowling and Mueller (1978): between 4 and 13%
For France: Jenny and Weber (1983): 7.4%
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Lecture 01: The Monopoly
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Social Cost and Monopoly Regulation
Rent-seeking
The Real Cost of Monopoly
Posner (1975) argues that the deadweight loss, as we have defined it, underestimates the real cost of monopoly.
→ The prospect of monopoly profits could act as an incentive for firms (or
stakeholders) to spend real ressources to obtain a monopoly situation.
We talk about ("rent seeking").
In the extreme scenario, a firm could be ready to spend all of its future monopoly
profit to become a monopoly.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Social Cost and Monopoly Regulation
The Monopoly Regulation
The Optimal Monopoly Regulation
Principe:
We obtain allocative efficiency when all units of production which generate a
non-zero "total surplus" are produced.
In other words: the willingness to pay for this additional unit is at least as
high as its cost of production.
Efficient ressource allocation = marginal cost pricing.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Social Cost and Monopoly Regulation
The Monopoly Regulation
The Optimal Monopoly Regulation
A simple example
Let’s assume that C(q) = F + cq. What is the efficient price? What is the firm’s
profit?
Efficient price: p? = c
Leads to a loss for the monopoly: π? = −F
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Social Cost and Monopoly Regulation
The Monopoly Regulation
Optimal Regulation and Balanced Budget
In the previous example, we obtained π? = −F
There is a budget balance problem, the first best equilibrium is therefore
not feasible.
A solution: give a subsidy of F to the firm.
Problem?
Subsidies could be forbidden by the law.
To get F, the regulator or the government should rise a tax, which will lead to
a loss of efficiency... higher or lower than the efficiency loss that the regulator
is supposed to eliminate.
A budget transfer from the State to the regulated firm introduces a risk of
"rent seeking": we talk about "regulator capture".
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Social Cost and Monopoly Regulation
The Monopoly Regulation
Regulation with a Budget Balance Constraint
Principe:
Social welfare maximization, under the constraint that the regulated firm has
a balanced budget (π ≥ 0).
Mono-product monopoly case?
Simple: average cost pricing.
Multi-product monopoly case?
More complex: there are numerous prices (and quantities) combinations
so that the monopoly makes a non-zero profit.
The optimal price combination: "Ramsey-Boiteux" pricing
An idea?
Ramsey-Boiteux prices are proportional (but inferior) to the inverse elasticity: the idea is to compensate the fixed costs on the least elastic services
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Lecture 01: The Monopoly
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Social Cost and Monopoly Regulation
Alternatives to Regulation
Alternatives to Regulation
Costs of regulation:
Information asymmetries (costs, demand)
Direct costs of regulation (regulatory body)
Risks of capture
Could we imagine other solutions than regulation?
Competition "à la Demsetz"
Contestable markets
Intermodal competition
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Lecture 01: The Monopoly
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Social Cost and Monopoly Regulation
Alternatives to Regulation
Competition "à la Demsetz"
If the competition in the market is not possible, we can imagine to organize
an auction to grant the market to the one offering the "highest bid" (the
lowest price).
Auction for the market = competition "for the market" rather than "within
the market".
In a mono-product industry, if there is no collusion between the bidders,
and if the production inputs are available at a competitive price for all,
Competition "a la Demsetz" should lead to average cost pricing.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Social Cost and Monopoly Regulation
Alternatives to Regulation
Contestable Markets
Baumol, Panzar et Willig Theory (1982).
The competition for the market should lead to the optimum with budget
balance, without public intervention (such as bid for the market), if there
are no sunk costs.
Sunk costs = fixed costs that cannot be recouped in case of a production
breakdown.
If the monopoly sets a higher price than the marginal cost, competitors
enter and take all the market by setting a slightly lower price ("hit and
run" strategy).
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Social Cost and Monopoly Regulation
Alternatives to Regulation
Intermodal Competition
Competition between different "modes" of production.
Examples:
Competition between different modes of transport: rail instead of roads
for freight.
Competition between electronic communication networks: telecoms instead of cable or satellite.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Price Discrimination
Introduction
Price Discrimination
Definition of price discrimination
Practices which consists in setting different prices for the same good (or similar goods), the selling price depending on: the quantity bought, the buyer’s
characteristics or other contract terms.
Examples:
Student price
Flight ticket price ("yield management")
Sliding scale ("2nd product offered")
Discount, vouchers, ...
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Price Discrimination
Introduction
Tests
There is price discrimination if the price difference between two versions of a
good cannot be explained by a cost difference.
Stigler test (1987):
p1
c1
, .
p2
c2
Philips test (1983):
p1 − c1 , p2 − c2 .
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Price Discrimination
Introduction
Conditions of Price Discrimination
Conditions for price discrimination:
1
Firms should have market power.
2
Consumers should have different willingness to pay and firms should be
able to identify them directly or indirectly (self-selection).
3
Resale opportunities should be limited.
Resale (or arbitrage) is difficult:
If the good is a service,
If the warranty applies only to the buyer,
If transaction costs are high (storage costs, research costs...),
If there is legal restriction to resale.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Price Discrimination
Introduction
Pigou Classification
Pigou (1920) identifies three types of price discrimination:
First degree discrimination (or personalized pricing).
Third degree discrimination (or multi-market discrimination or group discrimination).
Second degree discrimination (or versioning, or menus pricing). Include
volume discounts (and all forms of non-linear pricing).
These three types of discrimination require some level of information, which
decreases (1st degree > 3rd degree > 2nd degree).
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Price Discrimination
First-Degree Price Discrimination
First-Degree Price Discrimination
Definition (Tirole (1988))
The producer captures the entire consumer surplus.
Examples of first-degree price discrimination? → Bazaar, fortune teller, Amazon experience (2000)...
What is the deadweight loss? → No deadweight loss...
Property
If a monopoly implements first-degree price discrimination, allocative efficiency is reached.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Price Discrimination
First-Degree Price Discrimination
An Example of First-Degree Price Discrimination
First-degree price discrimination is feasible if the customers consume more
than one unit of the good or service.
Let’s take a telecommunication operator in monopoly.
With u q the utility to make q phone calls
All consumers are identical
The monopoly sets a non-linear price T q = f + pq
f = subscription, p = price per call (or minute)
What is the optimal price for the monopoly? How can it implement first-degree
price discrimination?
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Lecture 01: The Monopoly
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Price Discrimination
First-Degree Price Discrimination
An Example of First-Degree Price Discrimination
First step: Once a consumer has subscribed to the service, he chooses the number
of calls, with:
v p = max u q − pq
q
Second step: the monopoly anticipates the consumer’s optimal number of calls.
It sets the subscription price such as the utility to make calls is higher to the
subscription price: v p ≥ f .
Third step: let’s write q p the demand for calls. The monopoly problem writes:
max π = p − c q p + f ,
p,f
under the constraint that
Marc Bourreau (TPT)
f ≤v p .
Lecture 01: The Monopoly
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Price Discrimination
First-Degree Price Discrimination
An Example of First-Degree Price Discrimination
Let’s replace f by v(p) and differentiate wrt p (CPO):
∂v p
∂q p
q p + p−c
+
=0
∂p
∂p
|{z}
−q(p)
we have therefore
p−c
such that
Marc Bourreau (TPT)
∂q p
=0
∂p
p∗ = c
Lecture 01: The Monopoly
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Price Discrimination
First-Degree Price Discrimination
An Example of First-Degree Price Discrimination
Results
The optimal price is such that p∗ = c and f ∗ = v p∗
Intuition:
The monopoly sets a price for calls that maximizes consumers’ surplus.
And extracts all the surplus with the subscription price.
Remark: all consumers pay the same price.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Price Discrimination
Third-Degree Price Discrimination
The European Car Market in the 1990s
Relative margin ( = (p-c)/c ) for a list of car models in Europe (in %). Source:
Verboven (1996).
Modèle
Belgique
Fiat Uno
Nissan Micra
RoyaumeUni
France
Allemagne
Italie
7,6
8,7
9,8
21,7
8,7
8,1
23,1
8,9
36,1
12,5
Ford Escort
8,5
9,5
8,9
8,9
11,5
Peugeot 405
9,9
13,4
10,2
9,9
11,6
Mercedes 190
14,3
14,4
17,2
15,6
12,3
→ Example of third degree discrimination (multi-market).
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Price Discrimination
Third-Degree Price Discrimination
Third-Degree Price Discrimination
Definition
We talk about third-degree price discrimination when the monopoly sets a
different price for each of its customer segments and is able to identify to which
segment belongs each of its customers.
Example: Movie tickets.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Price Discrimination
Third-Degree Price Discrimination
Third-Degree Price Discrimination
Let’s suppose, for example, that a monopoly is active on different geographical
markets.
The monopoly sets its price on each market such as the marginal revenue is
equal on all markets and equal to the marginal cost:
Rm1 = Rm2 = Cm,
This can be written with the Lerner index:
pi − C0i q
1
= .
pi
i
The price of the good is lower in the market where the demand is the most
elastic.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Price Discrimination
Second-Degree Price Discrimination
Second-Degree Price Discrimination
Definition
We talk about second-degree price discrimination when the monopoly sets a
different price for each of its customer segments and is not able to identify to
which segment belongs each of its customers.
We also talk about discrimination by self-selection, versioning, or menu pricing.
Principle:
The monopoly is not able to identify the customers.
But it knows the distribution of the customers types in the population.
The monopoly can define an offer so as to discriminate between the different type of customers.
How? What constraints should be taken into consideration?
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Price Discrimination
Discrimination and Competition Policy
Discrimination and Competition Policy
In the US, the Robinson-Patman Act states that:
... it shall be unlawful...to discriminate in price between different
purchasers of commodities of like grade and quality...where the effect of such
discrimination may be substantially to lessen competition...in any line of
commerce,...or to injure...competition with any person who either grants or
knowingly receives the benefit of such discrimination, or with customers of
either of them.
Exceptions:
The price differences reflect the cost differences
Lower price to respond to a lower price of a competitor
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Price Discrimination
Discrimination and Competition Policy
Discrimination and Competition Policy
In Europe, price discrimination on the retail markets is not forbidden.
Could be abusive on an intermediate market if the firm is dominant and the
input offered important for the buying firms.
Case of United Brand (1978):
United Brands sold bananas in different European countries
Costs roughly similar, but wholesale price very different: for example,
price in Denmark > 2 x price in Ireland
United Brands indicated that it priced in function of what "each market
could bear".
Considered as an abuse of dominant position by the European Commission
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Lecture 01: The Monopoly
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Take-Aways
Take-Aways (1)
Some companies are active on a market in a "monopoly". Usually there are
natural monopolies or markets on which there are important entry barriers
(strategic or non-strategic).
The monopoly which sells only one product prices as such as the relative
margin rate is inversely proportional to the elasticity of demand.
A monopoly does not necessarily use its market power.
A "multi-product" monopoly sets its prices by taking into account the
substitutability or complementarity between the goods.
A monopoly can use its market power even more if it is possible to discriminate between consumers.
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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Take-Aways
Take-Aways (2)
Monopoly social costs and benefits
Social Benefits
Social Costs
– Efficiency gains if increasing returns
– Investments in R&D (Schumpeter
against Stiglitz)
– Market power is not necessarily
exercised
– Exercise of market power on consumers: deadweight loss
– Dissipation of the monopoly rent
– Cost of monopoly regulation (information asymmetry)
Marc Bourreau (TPT)
Lecture 01: The Monopoly
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